"supermodular" meaning in English

See supermodular in All languages combined, or Wiktionary

Adjective

Etymology: super- + modular Etymology templates: {{prefix|en|super|modular}} super- + modular Head templates: {{en-adj|-}} supermodular (not comparable)
  1. (mathematics, said of a function) having the property that f(x∨y)+f(x∧y)≥f(x)+f(y) for all x, y isin Rᵏ, where x ∨ y denotes the componentwise maximum and x ∧ y the componentwise minimum of x and y. Tags: not-comparable Categories (topical): Mathematics Related terms: supermodularity
    Sense id: en-supermodular-en-adj-BjFihMHF Categories (other): English entries with incorrect language header, English terms prefixed with super- Topics: mathematics, sciences

Download JSON data for supermodular meaning in English (1.5kB)

{
  "antonyms": [
    {
      "word": "submodular"
    }
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "super",
        "3": "modular"
      },
      "expansion": "super- + modular",
      "name": "prefix"
    }
  ],
  "etymology_text": "super- + modular",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "supermodular (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 super-",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "having the property that f(x∨y)+f(x∧y)≥f(x)+f(y) for all x, y isin Rᵏ, where x ∨ y denotes the componentwise maximum and x ∧ y the componentwise minimum of x and y."
      ],
      "id": "en-supermodular-en-adj-BjFihMHF",
      "links": [
        [
          "mathematics",
          "mathematics"
        ]
      ],
      "raw_glosses": [
        "(mathematics, said of a function) having the property that f(x∨y)+f(x∧y)≥f(x)+f(y) for all x, y isin Rᵏ, where x ∨ y denotes the componentwise maximum and x ∧ y the componentwise minimum of x and y."
      ],
      "raw_tags": [
        "said of a function"
      ],
      "related": [
        {
          "word": "supermodularity"
        }
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "supermodular"
}
{
  "antonyms": [
    {
      "word": "submodular"
    }
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "super",
        "3": "modular"
      },
      "expansion": "super- + modular",
      "name": "prefix"
    }
  ],
  "etymology_text": "super- + modular",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "supermodular (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "related": [
    {
      "word": "supermodularity"
    }
  ],
  "senses": [
    {
      "categories": [
        "English adjectives",
        "English entries with incorrect language header",
        "English lemmas",
        "English terms prefixed with super-",
        "English uncomparable adjectives",
        "en:Mathematics"
      ],
      "glosses": [
        "having the property that f(x∨y)+f(x∧y)≥f(x)+f(y) for all x, y isin Rᵏ, where x ∨ y denotes the componentwise maximum and x ∧ y the componentwise minimum of x and y."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ]
      ],
      "raw_glosses": [
        "(mathematics, said of a function) having the property that f(x∨y)+f(x∧y)≥f(x)+f(y) for all x, y isin Rᵏ, where x ∨ y denotes the componentwise maximum and x ∧ y the componentwise minimum of x and y."
      ],
      "raw_tags": [
        "said of a function"
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "supermodular"
}

This page is a part of the kaikki.org machine-readable English 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.