Abel's identity in English

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{
  "etymology_text": "Proven in 1826 by Niels Henrik Abel.",
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  "lang_code": "en",
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      "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": [
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          "mathematics",
          "mathematics"
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          "equation",
          "equation"
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        [
          "Wronskian",
          "Wronskian"
        ],
        [
          "solution",
          "solution"
        ],
        [
          "homogeneous",
          "homogeneous"
        ],
        [
          "ordinary differential equation",
          "ordinary differential equation"
        ],
        [
          "coefficient",
          "coefficient"
        ],
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          "differential equation",
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        ]
      ],
      "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 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.

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"Abel's identity" meaning in English

Proper name