"semiconvex" meaning in English

See semiconvex in All languages combined, or Wiktionary

Adjective

Etymology: From semi- + convex. Etymology templates: {{prefix|en|semi|convex}} semi- + convex Head templates: {{en-adj|-}} semiconvex (not comparable)
  1. (mathematics, of a function, f) Having the property that for every compact subset of the domain, there exists a constant C such that f(x) + ½C|x|² is convex on the subset. Tags: not-comparable Categories (topical): Mathematics Synonyms: semi-convex
{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "semi",
        "3": "convex"
      },
      "expansion": "semi- + convex",
      "name": "prefix"
    }
  ],
  "etymology_text": "From semi- + convex.",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "semiconvex (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 semi-",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "2015, Katy Craig, “Nonconvex gradient flow in the Wasserstein metric and applications to constrained nonlocal interactions”, in arXiv:",
          "text": "We also prove the first quantitative estimates on convergence of the discrete gradient flow or \"JKO scheme\" outside of the semiconvex case.",
          "type": "quote"
        }
      ],
      "glosses": [
        "Having the property that for every compact subset of the domain, there exists a constant C such that f(x) + ½C|x|² is convex on the subset."
      ],
      "id": "en-semiconvex-en-adj-3uZgg940",
      "links": [
        [
          "mathematics",
          "mathematics"
        ]
      ],
      "raw_glosses": [
        "(mathematics, of a function, f) Having the property that for every compact subset of the domain, there exists a constant C such that f(x) + ½C|x|² is convex on the subset."
      ],
      "raw_tags": [
        "of a function"
      ],
      "synonyms": [
        {
          "word": "semi-convex"
        }
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "semiconvex"
}
{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "semi",
        "3": "convex"
      },
      "expansion": "semi- + convex",
      "name": "prefix"
    }
  ],
  "etymology_text": "From semi- + convex.",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "semiconvex (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 semi-",
        "English terms with quotations",
        "English uncomparable adjectives",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Mathematics"
      ],
      "examples": [
        {
          "ref": "2015, Katy Craig, “Nonconvex gradient flow in the Wasserstein metric and applications to constrained nonlocal interactions”, in arXiv:",
          "text": "We also prove the first quantitative estimates on convergence of the discrete gradient flow or \"JKO scheme\" outside of the semiconvex case.",
          "type": "quote"
        }
      ],
      "glosses": [
        "Having the property that for every compact subset of the domain, there exists a constant C such that f(x) + ½C|x|² is convex on the subset."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ]
      ],
      "raw_glosses": [
        "(mathematics, of a function, f) Having the property that for every compact subset of the domain, there exists a constant C such that f(x) + ½C|x|² is convex on the subset."
      ],
      "raw_tags": [
        "of a function"
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "synonyms": [
    {
      "word": "semi-convex"
    }
  ],
  "word": "semiconvex"
}

Download raw JSONL data for semiconvex meaning in English (1.5kB)

{
  "called_from": "form_descriptions/1831",
  "msg": "unrecognized sense qualifier: mathematics, of a function, f",
  "path": [
    "semiconvex"
  ],
  "section": "English",
  "subsection": "adjective",
  "title": "semiconvex",
  "trace": ""
}

{
  "called_from": "form_descriptions/1831",
  "msg": "unrecognized sense qualifier: mathematics, of a function, f",
  "path": [
    "semiconvex"
  ],
  "section": "English",
  "subsection": "adjective",
  "title": "semiconvex",
  "trace": ""
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). 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.