"Abel's theorem" meaning in All languages combined

See Abel's theorem on Wiktionary

Proper name [English]

Etymology: Proven in 1826 by Niels Henrik Abel. Head templates: {{en-prop}} Abel's theorem
  1. (mathematics) A theorem that relates a limit of a power series to the sum of its coefficients Wikipedia link: Niels Henrik Abel Categories (topical): Mathematics Related terms: Abel's impossibility theorem, Abel's irreducibility theorem
{
  "etymology_text": "Proven in 1826 by Niels Henrik Abel.",
  "head_templates": [
    {
      "args": {},
      "expansion": "Abel's theorem",
      "name": "en-prop"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "name",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English entries with language name categories using raw markup",
          "parents": [
            "Entries with language name categories using raw markup",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms with non-redundant non-automated sortkeys",
          "parents": [
            "Terms with non-redundant non-automated sortkeys",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A theorem that relates a limit of a power series to the sum of its coefficients"
      ],
      "id": "en-Abel's_theorem-en-name-plIfneAT",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "relate",
          "relate"
        ],
        [
          "limit",
          "limit"
        ],
        [
          "power series",
          "power series"
        ],
        [
          "sum",
          "sum"
        ],
        [
          "coefficient",
          "coefficient"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A theorem that relates a limit of a power series to the sum of its coefficients"
      ],
      "related": [
        {
          "word": "Abel's impossibility theorem"
        },
        {
          "word": "Abel's irreducibility theorem"
        }
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Niels Henrik Abel"
      ]
    }
  ],
  "word": "Abel's theorem"
}
{
  "etymology_text": "Proven in 1826 by Niels Henrik Abel.",
  "head_templates": [
    {
      "args": {},
      "expansion": "Abel's theorem",
      "name": "en-prop"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "name",
  "related": [
    {
      "word": "Abel's impossibility theorem"
    },
    {
      "word": "Abel's irreducibility theorem"
    }
  ],
  "senses": [
    {
      "categories": [
        "English entries with incorrect language header",
        "English entries with language name categories using raw markup",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English proper nouns",
        "English terms with non-redundant non-automated sortkeys",
        "English uncountable nouns",
        "Pages with 1 entry",
        "en:Mathematics"
      ],
      "glosses": [
        "A theorem that relates a limit of a power series to the sum of its coefficients"
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "relate",
          "relate"
        ],
        [
          "limit",
          "limit"
        ],
        [
          "power series",
          "power series"
        ],
        [
          "sum",
          "sum"
        ],
        [
          "coefficient",
          "coefficient"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A theorem that relates a limit of a power series to the sum of its coefficients"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Niels Henrik Abel"
      ]
    }
  ],
  "word": "Abel's theorem"
}

Download raw JSONL data for Abel's theorem meaning in All languages combined (1.1kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-09-22 from the enwiktionary dump dated 2024-09-20 using wiktextract (af5c55c and 66545a6). 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.