"extragradient" meaning in English

See extragradient in All languages combined, or Wiktionary

Adjective

Etymology: From 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-, Pages with 1 entry Topics: mathematics, sciences
{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "extra",
        "3": "gradient"
      },
      "expansion": "extra- + gradient",
      "name": "prefix"
    }
  ],
  "etymology_text": "From 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": "other",
          "name": "Pages with 1 entry",
          "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": "quote"
        }
      ],
      "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": "From extra- + gradient.",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "extragradient (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        "English adjectives",
        "English entries with incorrect language header",
        "English lemmas",
        "English terms prefixed with extra-",
        "English terms with quotations",
        "English uncomparable adjectives",
        "Pages with 1 entry",
        "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": "quote"
        }
      ],
      "glosses": [
        "Obtaining strong convergence without strong monotonicity by projecting twice on the underlying set of constraints."
      ],
      "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"
}

Download raw JSONL data for extragradient meaning in English (1.3kB)


This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-09-22 from the enwiktionary dump dated 2024-09-20 using wiktextract (af5c55c and 66545a6). 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.