"Baire function" meaning in All languages combined

See Baire function on Wiktionary

Noun [English]

Forms: Baire functions [plural]
Etymology: Introduced by René-Louis Baire. Head templates: {{en-noun}} Baire function (plural Baire functions)
  1. (mathematics) A function obtained from a continuous function by transfinite iteration of the operation of forming pointwise limits of sequences of functions. Wikipedia link: Baire function Related terms: Baire set, property of Baire
    Sense id: en-Baire_function-en-noun-h~ZvPGoK Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries, Functions, Mathematics Topics: mathematics, sciences

Inflected forms

{
  "etymology_text": "Introduced by René-Louis Baire.",
  "forms": [
    {
      "form": "Baire functions",
      "tags": [
        "plural"
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  ],
  "head_templates": [
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      "name": "en-noun"
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  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [],
          "source": "w"
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          "orig": "en:Functions",
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        {
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          "orig": "en:Mathematics",
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        }
      ],
      "glosses": [
        "A function obtained from a continuous function by transfinite iteration of the operation of forming pointwise limits of sequences of functions."
      ],
      "id": "en-Baire_function-en-noun-h~ZvPGoK",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "continuous function",
          "continuous function"
        ],
        [
          "transfinite",
          "transfinite"
        ],
        [
          "iteration",
          "iteration"
        ],
        [
          "pointwise",
          "pointwise"
        ],
        [
          "limit",
          "limit"
        ],
        [
          "sequence",
          "sequence"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A function obtained from a continuous function by transfinite iteration of the operation of forming pointwise limits of sequences of functions."
      ],
      "related": [
        {
          "word": "Baire set"
        },
        {
          "word": "property of Baire"
        }
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Baire function"
      ]
    }
  ],
  "word": "Baire function"
}
{
  "etymology_text": "Introduced by René-Louis Baire.",
  "forms": [
    {
      "form": "Baire functions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Baire function (plural Baire functions)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "Baire set"
    },
    {
      "word": "property of Baire"
    }
  ],
  "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:Functions",
        "en:Mathematics"
      ],
      "glosses": [
        "A function obtained from a continuous function by transfinite iteration of the operation of forming pointwise limits of sequences of functions."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "continuous function",
          "continuous function"
        ],
        [
          "transfinite",
          "transfinite"
        ],
        [
          "iteration",
          "iteration"
        ],
        [
          "pointwise",
          "pointwise"
        ],
        [
          "limit",
          "limit"
        ],
        [
          "sequence",
          "sequence"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A function obtained from a continuous function by transfinite iteration of the operation of forming pointwise limits of sequences of functions."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
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}

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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 2025-05-21 from the enwiktionary dump dated 2025-05-01 using wiktextract (89ebc88 and e74c913). 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.