"Radon measure" meaning in English

See Radon measure in All languages combined, or Wiktionary

Noun

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

{
  "etymology_text": "After Johann Radon.",
  "forms": [
    {
      "form": "Radon measures",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Radon measure (plural Radon measures)",
      "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": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "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"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Radon measure (plural Radon measures)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Mathematics"
      ],
      "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."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Johann Radon"
      ]
    }
  ],
  "word": "Radon measure"
}

Download raw JSONL data for Radon measure meaning in English (1.1kB)


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.

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.