Abel's identity in All languages combined

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{
  "etymology_text": "Proven in 1826 by Niels Henrik Abel.",
  "head_templates": [
    {
      "args": {},
      "expansion": "Abel's identity",
      "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"
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          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "An equation expressing the Wronskian of two solutions of a homogeneous second-order linear ordinary differential equation in terms of a coefficient of the original differential equation."
      ],
      "id": "en-Abel's_identity-en-name-Ltx-0JZx",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "equation",
          "equation"
        ],
        [
          "Wronskian",
          "Wronskian"
        ],
        [
          "solution",
          "solution"
        ],
        [
          "homogeneous",
          "homogeneous"
        ],
        [
          "ordinary differential equation",
          "ordinary differential equation"
        ],
        [
          "coefficient",
          "coefficient"
        ],
        [
          "differential equation",
          "differential equation"
        ]
      ],
      "raw_glosses": [
        "(mathematics) An equation expressing the Wronskian of two solutions of a homogeneous second-order linear ordinary differential equation in terms of a coefficient of the original differential equation."
      ],
      "synonyms": [
        {
          "word": "Abel's formula"
        }
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Niels Henrik Abel"
      ]
    }
  ],
  "word": "Abel's identity"
}

[Show JSON for raw wiktextract data ▼] [Hide JSON for raw wiktextract data ▲]

{
  "etymology_text": "Proven in 1826 by Niels Henrik Abel.",
  "head_templates": [
    {
      "args": {},
      "expansion": "Abel's identity",
      "name": "en-prop"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "name",
  "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",
        "en:Mathematics"
      ],
      "glosses": [
        "An equation expressing the Wronskian of two solutions of a homogeneous second-order linear ordinary differential equation in terms of a coefficient of the original differential equation."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "equation",
          "equation"
        ],
        [
          "Wronskian",
          "Wronskian"
        ],
        [
          "solution",
          "solution"
        ],
        [
          "homogeneous",
          "homogeneous"
        ],
        [
          "ordinary differential equation",
          "ordinary differential equation"
        ],
        [
          "coefficient",
          "coefficient"
        ],
        [
          "differential equation",
          "differential equation"
        ]
      ],
      "raw_glosses": [
        "(mathematics) An equation expressing the Wronskian of two solutions of a homogeneous second-order linear ordinary differential equation in terms of a coefficient of the original differential equation."
      ],
      "synonyms": [
        {
          "word": "Abel's formula"
        }
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Niels Henrik Abel"
      ]
    }
  ],
  "word": "Abel's identity"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-06-23 from the enwiktionary dump dated 2024-06-20 using wiktextract (1b9bfc5 and 0136956). 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.

"Abel's identity" meaning in All languages combined

Proper name [English]