"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, English entries with language name categories using raw markup, English terms with non-redundant non-automated sortkeys Disambiguation of English entries with incorrect language header: 15 85 Disambiguation of English entries with language name categories using raw markup: 16 84 Disambiguation of English terms with non-redundant non-automated sortkeys: 16 84

Inflected forms

Download JSON data for Schwarzian derivative meaning in All languages combined (1.8kB)

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  "forms": [
    {
      "form": "Schwarzian derivatives",
      "tags": [
        "plural"
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  "head_templates": [
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      "expansion": "Schwarzian derivative (plural Schwarzian derivatives)",
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English singularia tantum",
          "parents": [
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            "Nouns",
            "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": [
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          "_dis": "15 85",
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          "name": "English entries with incorrect language header",
          "parents": [
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          "source": "w+disamb"
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        {
          "_dis": "16 84",
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          "source": "w+disamb"
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          "_dis": "16 84",
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          "parents": [
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          "source": "w+disamb"
        }
      ],
      "glosses": [
        "Any image of that operator."
      ],
      "id": "en-Schwarzian_derivative-en-noun-8P~5Xoyc",
      "links": [
        [
          "image",
          "image"
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      ],
      "raw_glosses": [
        "(countable) Any image of that operator."
      ],
      "tags": [
        "countable"
      ]
    }
  ],
  "word": "Schwarzian derivative"
}
{
  "categories": [
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    "English lemmas",
    "English multiword terms",
    "English nouns",
    "English terms with non-redundant non-automated sortkeys"
  ],
  "forms": [
    {
      "form": "Schwarzian derivatives",
      "tags": [
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      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Schwarzian derivative (plural Schwarzian derivatives)",
      "name": "en-noun"
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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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      "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"
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    },
    {
      "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"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-04-26 from the enwiktionary dump dated 2024-04-21 using wiktextract (93a6c53 and 21a9316). 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.