"subdifferentiation" meaning in All languages combined

See subdifferentiation on Wiktionary

Noun [English]

Forms: subdifferentiations [plural]
Etymology: sub- + differentiation Etymology templates: {{prefix|en|sub|differentiation}} sub- + differentiation Head templates: {{en-noun}} subdifferentiation (plural subdifferentiations)
  1. (mathematics) The formation of a subderivative Categories (topical): Mathematics
    Sense id: en-subdifferentiation-en-noun-ej8IwmNK Categories (other): English entries with incorrect language header, English terms prefixed with sub- Topics: mathematics, sciences

Inflected forms

Download JSON data for subdifferentiation meaning in All languages combined (1.7kB)

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  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "sub",
        "3": "differentiation"
      },
      "expansion": "sub- + differentiation",
      "name": "prefix"
    }
  ],
  "etymology_text": "sub- + differentiation",
  "forms": [
    {
      "form": "subdifferentiations",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "subdifferentiation (plural subdifferentiations)",
      "name": "en-noun"
    }
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
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          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms prefixed with sub-",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
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        }
      ],
      "examples": [
        {
          "ref": "2015, Boris S. Mordukhovich, Nobusumi Sagara, “Subdifferentials of Nonconvex Integral Functionals in Banach Spaces with Applications to Stochastic Dynamic Programming”, in arXiv",
          "text": "Considering two major subdifferentials of variational analysis, we derive nonsmooth versions of the Leibniz rule on subdifferentiation under the integral sign, where the integral of the subdifferential set-valued mappings generated by Lipschitzian integrands is understood in the Gelfand sense.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "The formation of a subderivative"
      ],
      "id": "en-subdifferentiation-en-noun-ej8IwmNK",
      "links": [
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          "mathematics",
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          "subderivative",
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      ],
      "raw_glosses": [
        "(mathematics) The formation of a subderivative"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "subdifferentiation"
}
{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "sub",
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  "etymology_text": "sub- + differentiation",
  "forms": [
    {
      "form": "subdifferentiations",
      "tags": [
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      ]
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      "expansion": "subdifferentiation (plural subdifferentiations)",
      "name": "en-noun"
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  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
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        "English lemmas",
        "English nouns",
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      "examples": [
        {
          "ref": "2015, Boris S. Mordukhovich, Nobusumi Sagara, “Subdifferentials of Nonconvex Integral Functionals in Banach Spaces with Applications to Stochastic Dynamic Programming”, in arXiv",
          "text": "Considering two major subdifferentials of variational analysis, we derive nonsmooth versions of the Leibniz rule on subdifferentiation under the integral sign, where the integral of the subdifferential set-valued mappings generated by Lipschitzian integrands is understood in the Gelfand sense.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "The formation of a subderivative"
      ],
      "links": [
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        "(mathematics) The formation of a subderivative"
      ],
      "topics": [
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  ],
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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 2024-06-04 from the enwiktionary dump dated 2024-05-02 using wiktextract (e9e0a99 and db5a844). 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.