"Schwarzian derivative" meaning in All languages combined

See Schwarzian derivative on Wiktionary

Noun [English]

Forms: Schwarzian derivatives [plural]
Head templates: {{en-noun}} Schwarzian derivative (plural Schwarzian derivatives)
  1. (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 Synonyms (both senses): Schwarzian
    Sense id: en-Schwarzian_derivative-en-noun-74sSUEoF Categories (other): English singularia tantum Disambiguation of 'both senses': 75 25
  2. (countable) Any image of that operator. Tags: countable
    Sense id: en-Schwarzian_derivative-en-noun-8P~5Xoyc Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Disambiguation of English entries with incorrect language header: 15 85 Disambiguation of Pages with 1 entry: 25 75 Disambiguation of Pages with entries: 7 93

Inflected forms

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          "name": "English singularia tantum",
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            "Lemmas"
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          "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",
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      "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",
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          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w+disamb"
        },
        {
          "_dis": "25 75",
          "kind": "other",
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          "parents": [],
          "source": "w+disamb"
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        {
          "_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": [
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          "image",
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      "raw_glosses": [
        "(countable) Any image of that operator."
      ],
      "tags": [
        "countable"
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    }
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  "word": "Schwarzian derivative"
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{
  "categories": [
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    "English eponyms",
    "English lemmas",
    "English multiword terms",
    "English nouns",
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    "Pages with entries"
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  "forms": [
    {
      "form": "Schwarzian derivatives",
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  "head_templates": [
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      "args": {},
      "expansion": "Schwarzian derivative (plural Schwarzian derivatives)",
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  "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": [
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        "(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": [
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      ],
      "raw_glosses": [
        "(countable) Any image of that operator."
      ],
      "tags": [
        "countable"
      ]
    }
  ],
  "synonyms": [
    {
      "sense": "both senses",
      "word": "Schwarzian"
    }
  ],
  "word": "Schwarzian derivative"
}

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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-12-15 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.

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.