"extragradient" meaning in All languages combined

See extragradient on Wiktionary

Adjective [English]

Etymology: extra- + gradient Etymology templates: {{prefix|en|extra|gradient}} extra- + gradient Head templates: {{en-adj|-}} extragradient (not comparable)
  1. (mathematics) Obtaining strong convergence without strong monotonicity by projecting twice on the underlying set of constraints. Tags: not-comparable Categories (topical): Mathematics
    Sense id: en-extragradient-en-adj-sfnUqasI Categories (other): English entries with incorrect language header, English terms prefixed with extra- Topics: mathematics, sciences

Download JSON data for extragradient meaning in All languages combined (1.5kB)

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "extra",
        "3": "gradient"
      },
      "expansion": "extra- + gradient",
      "name": "prefix"
    }
  ],
  "etymology_text": "extra- + gradient",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "extragradient (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms prefixed with extra-",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "2015, Bui Van Dinh, Do Sang Kim, “Extragradient algorithms for equilibrium problems and symmetric generalized hybrid mappings”, in arXiv",
          "text": "It becomes unnecessary when an Armijo back tracking linesearch is incorporated in the extragradient method..",
          "type": "quotation"
        }
      ],
      "glosses": [
        "Obtaining strong convergence without strong monotonicity by projecting twice on the underlying set of constraints."
      ],
      "id": "en-extragradient-en-adj-sfnUqasI",
      "links": [
        [
          "mathematics",
          "mathematics"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Obtaining strong convergence without strong monotonicity by projecting twice on the underlying set of constraints."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "extragradient"
}
{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "extra",
        "3": "gradient"
      },
      "expansion": "extra- + gradient",
      "name": "prefix"
    }
  ],
  "etymology_text": "extra- + gradient",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "extragradient (not comparable)",
      "name": "en-adj"
    }
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  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
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        "English entries with incorrect language header",
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        "English terms prefixed with extra-",
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        "English uncomparable adjectives",
        "en:Mathematics"
      ],
      "examples": [
        {
          "ref": "2015, Bui Van Dinh, Do Sang Kim, “Extragradient algorithms for equilibrium problems and symmetric generalized hybrid mappings”, in arXiv",
          "text": "It becomes unnecessary when an Armijo back tracking linesearch is incorporated in the extragradient method..",
          "type": "quotation"
        }
      ],
      "glosses": [
        "Obtaining strong convergence without strong monotonicity by projecting twice on the underlying set of constraints."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
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      ],
      "raw_glosses": [
        "(mathematics) Obtaining strong convergence without strong monotonicity by projecting twice on the underlying set of constraints."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "extragradient"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-06-21 from the enwiktionary dump dated 2024-06-06 using wiktextract (6c02f21 and 0136956). 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.