"Radon measure" meaning in All languages combined

See Radon measure on Wiktionary

Noun [English]

Forms: Radon measures [plural]
Etymology: After Johann Radon. Head templates: {{en-noun}} Radon measure (plural Radon measures)
  1. (mathematics) A measure on the σ-algebra of Borel sets of a Hausdorff space that is locally finite and inner regular. Wikipedia link: Johann Radon Categories (topical): Mathematics
    Sense id: en-Radon_measure-en-noun-vR~1Y1gX Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Topics: mathematics, sciences

Inflected forms

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  "etymology_text": "After Johann Radon.",
  "forms": [
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      "form": "Radon measures",
      "tags": [
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  "lang_code": "en",
  "pos": "noun",
  "senses": [
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        {
          "kind": "other",
          "name": "English entries with incorrect language header",
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          "source": "w"
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        {
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          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
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          "source": "w"
        }
      ],
      "glosses": [
        "A measure on the σ-algebra of Borel sets of a Hausdorff space that is locally finite and inner regular."
      ],
      "id": "en-Radon_measure-en-noun-vR~1Y1gX",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "measure",
          "measure"
        ],
        [
          "σ-algebra",
          "σ-algebra"
        ],
        [
          "Borel set",
          "Borel set"
        ],
        [
          "Hausdorff space",
          "Hausdorff space"
        ],
        [
          "finite",
          "finite"
        ],
        [
          "inner regular",
          "inner regular"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A measure on the σ-algebra of Borel sets of a Hausdorff space that is locally finite and inner regular."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Johann Radon"
      ]
    }
  ],
  "word": "Radon measure"
}
{
  "etymology_text": "After Johann Radon.",
  "forms": [
    {
      "form": "Radon measures",
      "tags": [
        "plural"
      ]
    }
  ],
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  "lang": "English",
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  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
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        "en:Mathematics"
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      "glosses": [
        "A measure on the σ-algebra of Borel sets of a Hausdorff space that is locally finite and inner regular."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "measure",
          "measure"
        ],
        [
          "σ-algebra",
          "σ-algebra"
        ],
        [
          "Borel set",
          "Borel set"
        ],
        [
          "Hausdorff space",
          "Hausdorff space"
        ],
        [
          "finite",
          "finite"
        ],
        [
          "inner regular",
          "inner regular"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A measure on the σ-algebra of Borel sets of a Hausdorff space that is locally finite and inner regular."
      ],
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        "mathematics",
        "sciences"
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      "wikipedia": [
        "Johann Radon"
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  "word": "Radon measure"
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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-11-06 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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