"lacunary function" meaning in English

See lacunary function in All languages combined, or Wiktionary

Noun

Forms: lacunary functions [plural]
Head templates: {{en-noun}} lacunary function (plural lacunary functions)
  1. (mathematics) A function defined by a lacunary series, especially one which cannot be analytically continued outside its domain of convergence. Wikipedia link: lacunary function Categories (topical): Mathematics
    Sense id: en-lacunary_function-en-noun-fOX9fXe- Categories (other): English entries with incorrect language header Topics: mathematics, sciences

Download JSON data for lacunary function meaning in English (1.2kB)

{
  "forms": [
    {
      "form": "lacunary functions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "lacunary function (plural lacunary functions)",
      "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": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A function defined by a lacunary series, especially one which cannot be analytically continued outside its domain of convergence."
      ],
      "id": "en-lacunary_function-en-noun-fOX9fXe-",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "lacunary series",
          "lacunary series"
        ],
        [
          "domain",
          "domain"
        ],
        [
          "convergence",
          "convergence"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A function defined by a lacunary series, especially one which cannot be analytically continued outside its domain of convergence."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "lacunary function"
      ]
    }
  ],
  "word": "lacunary function"
}
{
  "forms": [
    {
      "form": "lacunary functions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "lacunary function (plural lacunary functions)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "en:Mathematics"
      ],
      "glosses": [
        "A function defined by a lacunary series, especially one which cannot be analytically continued outside its domain of convergence."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "lacunary series",
          "lacunary series"
        ],
        [
          "domain",
          "domain"
        ],
        [
          "convergence",
          "convergence"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A function defined by a lacunary series, especially one which cannot be analytically continued outside its domain of convergence."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "lacunary function"
      ]
    }
  ],
  "word": "lacunary function"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-05 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). 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.