"bounded function" meaning in English

See bounded function in All languages combined, or Wiktionary

Noun

Forms: bounded functions [plural]
Head templates: {{en-noun}} bounded function (plural bounded functions)
  1. (mathematics) Any function whose values remain bounded by some constant. Wikipedia link: bounded function Categories (topical): Functions, Mathematics Hypernyms: function Hyponyms: essentially bounded function Translations (function): fonction bornée [feminine] (French), beschränkte Funktion [feminine] (German), funkcja ograniczona [feminine] (Polish), sınırlı fonksiyon (Turkish)

Inflected forms

Download JSON data for bounded function meaning in English (2.1kB)

{
  "forms": [
    {
      "form": "bounded functions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "bounded function (plural bounded functions)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "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 entries with topic categories using raw markup",
          "parents": [
            "Entries with topic categories using raw markup",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms with non-redundant non-automated sortkeys",
          "parents": [
            "Terms with non-redundant non-automated sortkeys",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Functions",
          "orig": "en:Functions",
          "parents": [
            "Algebra",
            "Calculus",
            "Geometry",
            "Mathematical analysis",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "Any function whose values remain bounded by some constant."
      ],
      "hypernyms": [
        {
          "word": "function"
        }
      ],
      "hyponyms": [
        {
          "word": "essentially bounded function"
        }
      ],
      "id": "en-bounded_function-en-noun-qMmwDtkk",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "value",
          "value"
        ],
        [
          "bounded",
          "bounded"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Any function whose values remain bounded by some constant."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "fr",
          "lang": "French",
          "sense": "function",
          "tags": [
            "feminine"
          ],
          "word": "fonction bornée"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "function",
          "tags": [
            "feminine"
          ],
          "word": "beschränkte Funktion"
        },
        {
          "code": "pl",
          "lang": "Polish",
          "sense": "function",
          "tags": [
            "feminine"
          ],
          "word": "funkcja ograniczona"
        },
        {
          "code": "tr",
          "lang": "Turkish",
          "sense": "function",
          "word": "sınırlı fonksiyon"
        }
      ],
      "wikipedia": [
        "bounded function"
      ]
    }
  ],
  "word": "bounded function"
}
{
  "forms": [
    {
      "form": "bounded functions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "bounded function (plural bounded functions)",
      "name": "en-noun"
    }
  ],
  "hypernyms": [
    {
      "word": "function"
    }
  ],
  "hyponyms": [
    {
      "word": "essentially bounded function"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English entries with topic categories using raw markup",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms with non-redundant non-automated sortkeys",
        "en:Functions",
        "en:Mathematics"
      ],
      "glosses": [
        "Any function whose values remain bounded by some constant."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "value",
          "value"
        ],
        [
          "bounded",
          "bounded"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Any function whose values remain bounded by some constant."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "bounded function"
      ]
    }
  ],
  "translations": [
    {
      "code": "fr",
      "lang": "French",
      "sense": "function",
      "tags": [
        "feminine"
      ],
      "word": "fonction bornée"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "function",
      "tags": [
        "feminine"
      ],
      "word": "beschränkte Funktion"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "function",
      "tags": [
        "feminine"
      ],
      "word": "funkcja ograniczona"
    },
    {
      "code": "tr",
      "lang": "Turkish",
      "sense": "function",
      "word": "sınırlı fonksiyon"
    }
  ],
  "word": "bounded function"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-05 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). 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.