Schwarzian derivative in English

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{
  "forms": [
    {
      "form": "Schwarzian derivatives",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Schwarzian derivative (plural Schwarzian derivatives)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English singularia tantum",
          "parents": [
            "Singularia tantum",
            "Nouns",
            "Lemmas"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A particular operator that, when applied to a function f yields a function x↦(f(x))/(f'(x))-3/2((f(x))/(f'(x)))²"
      ],
      "id": "en-Schwarzian_derivative-en-noun-74sSUEoF",
      "links": [
        [
          "operator",
          "operator"
        ],
        [
          "function",
          "function"
        ]
      ],
      "raw_glosses": [
        "(singular only) A particular operator that, when applied to a function f yields a function x↦(f(x))/(f'(x))-3/2((f(x))/(f'(x)))²"
      ],
      "synonyms": [
        {
          "_dis1": "75 25",
          "sense": "both senses",
          "word": "Schwarzian"
        }
      ],
      "tags": [
        "singular",
        "singular-only"
      ]
    },
    {
      "categories": [
        {
          "_dis": "15 85",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w+disamb"
        },
        {
          "_dis": "25 75",
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "7 93",
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w+disamb"
        }
      ],
      "glosses": [
        "Any image of that operator."
      ],
      "id": "en-Schwarzian_derivative-en-noun-8P~5Xoyc",
      "links": [
        [
          "image",
          "image"
        ]
      ],
      "raw_glosses": [
        "(countable) Any image of that operator."
      ],
      "tags": [
        "countable"
      ]
    }
  ],
  "word": "Schwarzian derivative"
}

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

{
  "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"
  ],
  "forms": [
    {
      "form": "Schwarzian derivatives",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Schwarzian derivative (plural Schwarzian derivatives)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English singularia tantum"
      ],
      "glosses": [
        "A particular operator that, when applied to a function f yields a function x↦(f(x))/(f'(x))-3/2((f(x))/(f'(x)))²"
      ],
      "links": [
        [
          "operator",
          "operator"
        ],
        [
          "function",
          "function"
        ]
      ],
      "raw_glosses": [
        "(singular only) A particular operator that, when applied to a function f yields a function x↦(f(x))/(f'(x))-3/2((f(x))/(f'(x)))²"
      ],
      "tags": [
        "singular",
        "singular-only"
      ]
    },
    {
      "categories": [
        "English countable nouns"
      ],
      "glosses": [
        "Any image of that operator."
      ],
      "links": [
        [
          "image",
          "image"
        ]
      ],
      "raw_glosses": [
        "(countable) Any image of that operator."
      ],
      "tags": [
        "countable"
      ]
    }
  ],
  "synonyms": [
    {
      "sense": "both senses",
      "word": "Schwarzian"
    }
  ],
  "word": "Schwarzian derivative"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-12-15 from the enwiktionary dump dated 2024-12-04 using wiktextract (8a39820 and 4401a4c). 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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"Schwarzian derivative" meaning in English

Noun

Inflected forms